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Finding the Fourth Proportional to 506.01, 698.47 and 319.81

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Solution

The fourth proportional to 506.01, 698.47 and 319.81 is: 441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 698.47 = 319.81 : x
  2. Step 2: Convert to fraction form
    506.01/698.47 = 319.81/x
  3. Step 3: Cross multiply
    506.01x = 698.47 × 319.81
  4. Step 4: Simplify right side
    506.01x = 223,377.69
  5. Step 5: Solve for x
    x = 223,377.69/506.01
  6. Step 6: Final answer
    x = 441.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.